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Finding the Fourth Proportional to 12,509.68, 18,764.74 and 4,188.14

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Solution

The fourth proportional to 12,509.68, 18,764.74 and 4,188.14 is: 6,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.68 : 18,764.74 = 4,188.14 : x
  2. Step 2: Convert to fraction form
    12,509.68/18,764.74 = 4,188.14/x
  3. Step 3: Cross multiply
    12,509.68x = 18,764.74 × 4,188.14
  4. Step 4: Simplify right side
    12,509.68x = 78,589,358.18
  5. Step 5: Solve for x
    x = 78,589,358.18/12,509.68
  6. Step 6: Final answer
    x = 6,282.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.